Chapter 9, Problem 1CQQ

To determine

To identify: The null and alternative hypotheses.

Answer to Problem 1CQQ

Null hypothesis: $H_0:p_1=p_2$

Alternative hypothesis: $H_1:p_1\ne p_2$

Explanation of Solution

Given info:

The claim for the hypothesis test is that the proportion of women is equal to the proportion of mean.

Justification:

Let population 1 denotes the women and population 2 denote the men.

Let $p_1$ be the proportion of women and $p_2$ be the proportion of men.

Here, the given claim is the proportion of women is equal to the proportion of men. This indicates that $p_1$ equal to $p_2$.

Null hypothesis:

$H_0:p_1=p_2$

That is, the proportion of women is equal to the proportion of men.

Alternative hypothesis:

$H_1:p_1\ne p_2$

That is, the proportion of women differs from the proportion of men